The last test was administered in September. I'm not sure of the times and locations of 2003 tests but in 2002 they were held at Seoul National University of Education, Pusan National University, Chonam National University and Chungnm National University.

There are two portions to the test. Vocabulary, Grammar and Writing and Listening and Reading. Each portion is one hour and thirty minutes in length.

I tried a Korean test some time ago but it wasn't the one you can buy books for in Kyobo. Everyone takes the same test and you get a level after they grade you. It wasn't a good test and the exam given by the other organisation looks much better.
I took the level 8 hanja test (the lowest level) a couple years ago. I was in a test room with a bunch of grade 2 students and felt very, very silly. I might take it again later but not until I feel confident enough to write an exam where the test takers are high school or university students. Still, I passed and got my little certificate.

I'm going to look into the KICE test, but I think I'll end up trying to find an institute program that has a decent placement test to see where I'm "at". I took a placement test at Seoul National's Korean langauge institute (for foreigners) long time ago. It was pretty basic, seems like there were four levels with the fourth level requiring basic hanja. Hopefully their testing is a little more "diagnostic" nowadays.